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An Analysis of the Density and Patterns of the Solutions of Diophantine Equations of the Third Power

Grewal et al. | Oct 05, 2020

An Analysis of the Density and Patterns of the Solutions of Diophantine Equations of the Third Power

In this study, the authors sought to find out how many mathematical solutions there were to the Indian mathematician Ramanujan's formula, which is a3 + b3 + c3 = d3, and also quantify the densities its solutions. They wrote their own computer program to do so and kept values of a, b, and c less than 10,000. While conducting the analysis, they were also looking for perfect power taxicab numbers and their frequency. They were able to find solutions and densities for the equation. Additionally, while they found that most perfect cube taxicab numbers had a frequency of 2 or 3, they also found on number with a frequency of 42!

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Can essential oils be allelopathic to Lolium multiforum without harming Solanum lycopersicum?

Madan et al. | Nov 13, 2021

 Can essential oils be allelopathic to <em>Lolium multiforum</em> without harming <em>Solanum lycopersicum</em>?

Seeking to investigate eco-friendly biological methods to control weeds and enhance food crop yields, here the authors considered the effects of three essential oils on seed germination and radicle length of both a weed and a common crop. They found that treatment with turmeric oil had phytotoxic potential, leading to a reduction in both seed germination and radicle length of the weed. In contrast, ginger oil possessed allelopathic properties towards both. The authors suggest that essential oils could be used as eco-friendly bio-herbicides.

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Sri Lankan Americans’ views on U.S. racial issues are influenced by pre-migrant ethnic prejudice and identity

Gunawardena et al. | Apr 18, 2022

Sri Lankan Americans’ views on U.S. racial issues are influenced by pre-migrant ethnic prejudice and identity

In this study, the authors examined how Sri Lankan Americans (SLAs) view racial issues in the U.S. The main hypothesis is that SLAs, as a minority in the U.S., are supportive of the Black Lives Matter movement and its political goal, challenging the common notion that SLAs are anti-Black. The study found that a majority of SLAs believe the U.S. has systemic racism, favor BLM, and favor affirmative action. IT also found that Tamil SLAs have more favorable views of BLM and affirmative action than Sinhalese SLAs.

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